Mr. Trump’s use of quotation marks suggests he is directly citing a passage from a recently released report. The White House did not respond when asked what exactly Mr. Trump was quoting, but the British Office for National Statistics, in a bulletin released on Thursday, estimated a 13 percent increase in “police recorded crime” in England and Wales from June 2016 to June 2017.

First, the United Kingdom also includes Scotland and Northern Ireland.

But more to Mr. Trump’s point, nowhere does the bulletin contain the words “amid spread of Radical Islamic terror.” If Mr. Trump is suggesting that the rise in crime is caused by Islamic terrorism, the report does not support that.

Two terrorists attacks, in London in June and in the northwest English city of Manchester in May, together killed 35 people and involved what the agency called 294 attempted murders. They represented 0.0006 percent of the total 5.2 million crimes during the period covered by the report. Over all, homicides actually decreased 2 percent.

“Violence against persons” — a broad category that includes terrorist attacks as one type of crime — totaled about 1.2 million, a 19 percent rise from the previous year. That was driven by increases in the subcategories of “violence without injury” (21 percent) and “stalking and harassment” (36 percent) as well as a smaller increase in “violence with injury” (10 percent), the statistical agency said.

Beyond the London and Manchester attacks, the police did not report the ethnicity or religion of the criminal offender, as they generally do not. “So there is no evidence that crimes by Islamic radicals have increased,” said Brian Francis, a statistician who specializes in criminology at Lancaster University.

Mr. Francis said he believed that “a lot of this increase is the police recording more minor violent crimes — assault without injury — which might in the past have been ignored in their figures.”

The statistical agency attributes the 13 percent increase to “a range of factors, including continuing improvements to crime recording and genuine increases in some crime categories, especially in those that are well recorded.”

Even Mr. Trump’s suggestion that there has been an overall increase in British crime is disputed.

The 13 percent increase reflects the rise in crimes recorded by the police, but a national statistical authority determined in 2014 that police figures were unreliable. As a result, the metric of “police-recorded crimes” is no longer an official statistic.

Another yardstick, the Crime Survey for England and Wales, is still considered an official statistic. It shows no change in crimes. As in the United States, crime in England and Wales has steadily declined since the 1990s.

The bulletin cited by Mr. Trump also cautions against relying on a year-to-year change in police reports alone to extrapolate a trend.

“Police figures cannot provide a good measure of all crime in society, since we know that a large volume of it never comes to their attention,” John Flatley, the head of the statistical agency, said in the release. “The recent increases in recorded crime need to be seen in the context of the overall decline in crime indicated by the Crime Survey for England and Wales.”